log(x+2)+log(x+5)=log(8)

Simple and best practice solution for log(x+2)+log(x+5)=log(8) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for log(x+2)+log(x+5)=log(8) equation:


Simplifying
log(x + 2) + log(x + 5) = log(8)

Reorder the terms:
glo(2 + x) + log(x + 5) = log(8)
(2 * glo + x * glo) + log(x + 5) = log(8)
(2glo + glox) + log(x + 5) = log(8)

Reorder the terms:
2glo + glox + glo(5 + x) = log(8)
2glo + glox + (5 * glo + x * glo) = log(8)
2glo + glox + (5glo + glox) = log(8)

Reorder the terms:
2glo + 5glo + glox + glox = log(8)

Combine like terms: 2glo + 5glo = 7glo
7glo + glox + glox = log(8)

Combine like terms: glox + glox = 2glox
7glo + 2glox = log(8)

Reorder the terms for easier multiplication:
7glo + 2glox = 8glo

Solving
7glo + 2glox = 8glo

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-8glo' to each side of the equation.
7glo + -8glo + 2glox = 8glo + -8glo

Combine like terms: 7glo + -8glo = -1glo
-1glo + 2glox = 8glo + -8glo

Combine like terms: 8glo + -8glo = 0
-1glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-1 + 2x) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Add '-2x' to each side of the equation. 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 0 = 1 + -2x Simplifying 0 = 1 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| .16(y-6)+0.12y=.08-0.6 | | 9=-9(4n-9) | | 576=8h^2+24h+16 | | -2a^3+5b-6ab+8= | | (3x^4-4)(3x^4+5)= | | 0=8h^2+24h+560 | | (99999x+999999)(9.801+99999)=0 | | 4a^2b(-2a^3+5b-6ab+8)= | | -4(4b+3)+(17b-5)=0 | | g(4)=g | | -41-39= | | 5x^3+16x+12=0 | | (15b-3)-7(2b+4)=-4 | | 0=z^2+5z+(10+2i) | | 0=z | | 3xy^4/x^3 | | 3[3x]+2[5]=60x-500 | | 9y+5=6y+11 | | 0=4cos(2x) | | (2x-3)(x-1)=15 | | 5n^2-10n=75 | | 1h+2s=44 | | 2h+2s=60 | | -10x-8+x-7= | | 25x^2-50=250 | | 2h+2h=60 | | (37b-2)-9(4b+1)=-3 | | 2=6x+16 | | 5y+6=3y-1 | | 3[k+2]=-3k | | X^2+2.5X-3.5=0 | | 2[k-6]=8k |

Equations solver categories